CN105571548B - A kind of micro-cutting measures conversion device and its tolerance Forecasting Methodology - Google Patents

A kind of micro-cutting measures conversion device and its tolerance Forecasting Methodology Download PDF

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CN105571548B
CN105571548B CN201610012230.9A CN201610012230A CN105571548B CN 105571548 B CN105571548 B CN 105571548B CN 201610012230 A CN201610012230 A CN 201610012230A CN 105571548 B CN105571548 B CN 105571548B
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tolerance
power function
grade
workpiece
gauge head
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CN105571548A (en
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王西彬
衣杰
焦黎
王东前
项俊锋
解丽静
刘志兵
颜培
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Beijing Institute of Technology BIT
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/02—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness

Abstract

The present invention relates to field of machining, more particularly to a kind of micro-cutting measures conversion device and its tolerance Forecasting Methodology, including servomotor, worm screw, worm gear, dividing plate, gauge head, cutter, the workpiece on platen and the rotating mechanism for processing detection, the power function fitting forecast model that the present invention uses, compared to 6 rank multinomial regression fit forecast models, the determination coefficient of model equationCloser to 1, fitting effect is more preferable, and precision is higher；The transverse and longitudinal coordinate of fitted figure of the present invention is taken the logarithm so that the 3mm of basic size section 0.01 is exaggerated, and more truly can clearly be reacted the relation between geometrical mean D and standard of tolerance value, can be completed " in-process measurement " of workpiece online, improve processing efficiency.

Description

A kind of micro-cutting measures conversion device and its tolerance Forecasting Methodology
Technical field
The present invention relates to field of machining, and in particular to a kind of micro-cutting measures conversion device and its tolerance prediction side Method.
Background technology
With the development of science and technology, the field such as aerospace, vehicle, communication and medicine equipment requires more next to the size of part It is smaller, machining accuracy and surface quality requirements also more and more higher.The research level of micro-fabrication technology turns into weighs a country Machinery manufacturing industry so that whole manufacture level important evidence." design-processing-measurement " integration be develop at present it is main Trend, and when designing and processing micro part, on-line testing equipment is relatively fewer, and off-line test is in new clamping process New error can be introduced again, is brought inconvenience to process, have impact on processing efficiency, simultaneously because lacking to basic size section The description of 0.01-3mm standard of tolerance values, so that batch production and control surface quality, machining accuracy become more difficult, Hinder the development of micro-fabrication technology.Domestic periodical《China Mechanical Engineering》" phase is based on magazine 2010 year 18 phases of volume 21 Micron and the research of medium scale tolerance to dilution of precision " one is disclosed herein based on MATLAB curve-fitting methods, establishes phase Mathematical forecasting model is returned to 6 rank multinomials of dilution of precision and size geometrical mean.According to mathematical statistics principle, when multinomial When the power of the independent variable of formula is more than 3, the explanation of regression coefficient becomes difficult, while regression function is nor very stable, therefore 6 It is larger that rank multinomial returns mathematical forecasting model error.
The content of the invention
The technical problems to be solved by the invention are to provide that a kind of conversion is convenient, improve processing efficiency, being capable of on-line measurement And it can accurately predict micro-cutting measures conversion device and its tolerance prediction of basic size section 0.01-3mm standard of tolerance value Method.
To solve above technical problem, the present invention adopts the following technical scheme that：
Technical scheme one：
A kind of micro-cutting measures conversion device, including servomotor, worm screw, worm gear, dividing plate, gauge head, cutter, located at machine Workpiece on bed workbench and the rotating mechanism for processing detection；The servomotor output end passes through shaft coupling and worm screw Connection, the worm and wheel coordinate, and the rotating mechanism is arranged on below dividing plate, and the gauge head is arranged on whirler with cutter In structure；The rotating mechanism includes：Driving wheel, driven pulley, chain, cover for seat, the studs for being arranged on dividing plate right-hand member and set Put the power transmission shaft in dividing plate left end；The driven pulley is arranged on studs by bearing, and the worm gear is arranged on power transmission shaft On, the power transmission shaft is connected through dividing plate by key with driving wheel, and the driving wheel is connected by chain with driven pulley, it is described from Driving wheel is provided with cover for seat；The gauge head is separately positioned in the cover for seat of rotating mechanism with cutter.The gauge head is with cutter and through rotation Rotation mechanism transmission is connected with machine tool chief axis, and corresponding with workpiece.The number of the cover for seat is 2 or more than 2.
Technical scheme two：
The tolerance Forecasting Methodology step of the present invention is following (utilizing micro-cutting measures conversion device)：
1. machining is carried out to workpiece using cutter；
2. rotated mechanism conversion, on-line measurement is carried out to the workpiece after processing using gauge head；
3. judge whether the size of workpiece after processing is less than 3mm；If less than 3mm, perform step 5., if greater than equal to 3mm, perform step 4.；
4. according to the grade of tolerance after the evaluation processing of existing basic size section 3-1000mm standard of tolerance table, then perform Step is 7.；
5. carried out curve fitting using power function model；
501 extraction basic size section 3-250mm, the grade of tolerance IT01, IT0, IT1, IT2, IT3, IT4 standard of tolerance Simultaneously form is made in numerical value, geometrical averages-were calculated D；
502 are modeled based on power function method, obtain the base that the grade of tolerance is IT01, IT0, IT1, IT2, IT3, IT4 Power function model between this size and standard of tolerance numerical value simultaneously fits curve map, and the transverse and longitudinal coordinate of matched curve figure is taken Logarithm, power function fitting model are as follows：
IT01 power function models：IT01=0.189D0.379；
IT0 power function models：IT0=0.291D0.383；
IT1 power function models：IT1=0.464D0.384；
IT2 power function models：IT2=0.738D0.379；
IT3 power function models：IT3=1.264D0.356；
IT4 power function models：IT4=2.152D0.336；
6. the power function model obtained according to fitting, takes the logarithm to the transverse and longitudinal coordinate of matched curve figure, to basic chi respectively Very little 0.01-3mm standards of tolerance are predicted；
7. judging whether the grade of tolerance after processing meets the processing request of setting, if meeting to require, process terminates, If not meeting to set processing request, step is performed 1..
The fitting degree of the step 5. middle grade of tolerance IT01, IT0, IT1, IT2, IT3, IT4 power function model is entered Row solves, and calculates corresponding F Distribution Values and regression coefficient R in the case of level of significance α=0.012。
6. middle tolerance grade factor uses R5 preferred numbers to the step, and this basic size section is divided into 9 sections：0.01- 0.03mm、0.03-0.06mm、0.06-0.10mm、0.10-0.18mm、0.18-0.30mm、0.30-0.60mm、0.60- 1.00mm, 1.00-1.80mm, 1.80-3.00mm, the power function model obtained using fitting, respectively to above-mentioned 9 sections progress standards Tolerance value is predicted analysis.
The positive effect of the present invention is as follows：The present invention configures motor and rotating mechanism at dividing plate both ends, can be effective Ensure the steady of transfer process, avoid the generation of eccentric phenomena；The present invention enters cutter with gauge head by rotating mechanism and lathe Row contact, can realize the on-line measurement of processing；The number of cover for seat of the present invention is 2 or more than 2, ensure that cutter and gauge head Diversity, extend its use range；The power function fitting forecast model that the present invention uses, returned compared to 6 rank multinomials Return fitting forecast model, the determination coefficients R of model equation2Closer to 1, fitting effect is more preferable, and precision is higher；Present invention fitting The transverse and longitudinal coordinate of figure is taken the logarithm so that basic size section 0.01-3mm is exaggerated, and truer can clearly react geometrical mean D With the relation between standard of tolerance value, " processing-measurement " of workpiece can be completed online, improves processing efficiency.
Brief description of the drawings
Fig. 1 is the structural representation of switching mechanism of the present invention；
Fig. 2 is sectional view of the present invention along B-B directions；
Fig. 3 is tool sharpening schematic diagram of the present invention；
Fig. 4 is gauge head instrumentation plan of the present invention；
Fig. 5 is the flow chart of invention method；
Fig. 6 is the standard of tolerance value matched curve schematic diagram that the grade of tolerance of the present invention is IT01；
Fig. 7 is the standard of tolerance value matched curve schematic diagram that the grade of tolerance of the present invention is IT0；
Fig. 8 is the standard of tolerance value matched curve schematic diagram that the grade of tolerance of the present invention is IT1；
Fig. 9 is the standard of tolerance value matched curve schematic diagram that the grade of tolerance of the present invention is IT2；
Figure 10 is the standard of tolerance value matched curve schematic diagram that the grade of tolerance of the present invention is IT3；
Figure 11 is the standard of tolerance value matched curve schematic diagram that the grade of tolerance of the present invention is IT4.
In figure：1 motor, 2 worm screws, 3 worm gears, 4 dividing plates, 5 driving wheels, 6 gauge heads, 7 driven pulleys, 8 cutters, 9 cover for seat, 10 works Part, 11 chains, 12 studs, 13 power transmission shafts.
Embodiment
The present invention is described in detail with instantiation below in conjunction with the accompanying drawings.
First, the embodiment of apparatus of the present invention：
Embodiment 1
As shown in Figure 1,2,3, 4, a kind of micro-cutting measures conversion device, including servomotor 1, worm screw 2, worm gear 3, every Plate 4, gauge head 6, cutter 8, the workpiece 10 on platen and the rotating mechanism for processing detection；The servo electricity The output end of machine 1 is connected by shaft coupling with worm screw 2, and the worm screw 2 coordinates with worm gear 3, and the rotating mechanism is arranged under dividing plate 4 Side, the gauge head 6 are arranged in rotating mechanism with cutter 8；
The rotating mechanism includes：Driving wheel 5, driven pulley 7, chain 11, cover for seat 9, the double end spiral shell for being arranged on the right-hand member of dividing plate 4 Post 12 and the power transmission shaft 13 for being arranged on the left end of dividing plate 4；The driven pulley 7 is arranged on studs 12 by bearing, described Worm gear 3 is arranged on power transmission shaft 13, and the power transmission shaft 13 is connected through dividing plate 4 by key with driving wheel 5, and the driving wheel 5 is logical Cross chain 11 to be connected with driven pulley 7, the driven pulley 7 is provided with cover for seat 9；The gauge head 6 is separately positioned on whirler with cutter 8 In the cover for seat 9 of structure.The gauge head 6 is connected with cutter 8 with rotated mechanism transmission with machine tool chief axis, and corresponding with workpiece 10. The number of the cover for seat 9 is 2 or more than 2.
2nd, the embodiment of the inventive method：
Embodiment 2：As shown in Figure 5
1. machining is carried out to workpiece 10 using cutter 8；
2. rotated mechanism conversion, on-line measurement is carried out to the workpiece 10 after processing using gauge head 6；
3. judge whether the size after processing is less than 3mm；If less than 3mm, step is performed 5., if greater than equal to 3mm, Perform step 4.；
4. according to the grade of tolerance after the evaluation processing of existing basic size section 3-1000mm standard of tolerance table, then perform Step is 7.；
5. carried out curve fitting using power function model；
501 extraction basic size section 3-250mm, the grade of tolerance IT01, IT0, IT1, IT2, IT3, IT4 standard of tolerance Simultaneously form is made in numerical value, geometrical averages-were calculated D, as shown in table 1；
The basic size section 3-250mm standard of tolerance tables of table 1
502 are modeled based on power function method, obtain the base that the grade of tolerance is IT01, IT0, IT1, IT2, IT3, IT4 Power function model between this size and standard of tolerance numerical value simultaneously fits curve map, and the transverse and longitudinal coordinate of matched curve figure is taken Logarithm, as shown in Fig. 6,7,8,9,10,11, power function fitting model is as follows：
IT01 power function models：IT01=0.189D0.379；
IT0 power function models：IT0=0.291D0.383；
IT1 power function models：IT1=0.464D0.384；
IT2 power function models：IT2=0.738D0.379；
IT3 power function models：IT3=1.264D0.356；
IT4 power function models：IT4=2.152D0.336；
6. the power function model obtained according to fitting, takes the logarithm to the transverse and longitudinal coordinate of matched curve figure, to basic chi respectively Very little 0.01-3mm standards of tolerance are predicted；
7. judging whether the grade of tolerance after processing meets the processing request of setting, if meeting to require, process terminates, If not meeting to set processing request, step is performed 1..The present invention uses micro-cutting mode, machining surplus compared with It is small.
The fitting degree of the step 5. middle grade of tolerance IT01, IT0, IT1, IT2, IT3, IT4 power function model is entered Row solves, and calculates corresponding F Distribution Values and regression coefficient R in the case of level of significance α=0.012。
The fitting degree of IT01 power function models is judged, takes level of significance α=0.01, the variance of regression model Analysis result such as table 2.Critical value F-tab=F can be obtained according to F distribution tables0.01(1,7)=12.25, and F=64.089>F- Tab, represent that regression model is highly significant, R2=0.902 close to 1, fitting effect is good.
Table 2IT01 power function regression model analysiss of variance table
The fitting degree of IT0, IT1, IT2, IT3, IT4 power function model is judged successively, the variance of regression model Analysis result such as table 3, table 4, table 5, table 6, table 7.Its corresponding F value be respectively 81.219,82.085,105.460, 124.188th, 283.673, it is all higher than F distribution table critical values F-tab=F0.01(1,7)=12.25, therefore regression model is height Significantly；Its corresponding R2Value respectively 0.921,0.921,0.938,0.947,0.976 is all close to 1, therefore fitting effect is good.
Table 3IT0 power function regression model analysiss of variance table
Table 4IT1 power function regression model analysiss of variance table
Table 5IT0 power function regression model analysiss of variance table
Table 6IT0 power function regression model analysiss of variance table
Table 7IT0 power function regression model analysiss of variance table
6. middle tolerance grade factor uses R5 preferred numbers to the step, and this basic size section is divided into 9 sections：0.01- 0.03mm、0.03-0.06mm、0.06-0.10mm、0.10-0.18mm、0.18-0.30mm、0.30-0.60mm、0.60- 1.00mm, 1.00-1.80mm, 1.80-3.00mm, the power function model obtained using fitting, respectively to above-mentioned 9 sections progress standards Tolerance value is predicted analysis, and draws basic size section 0.01-3mm standard of tolerance predictions table 8.
The basic size section 0.01-3mm standards of tolerance of table 8 predict table
Embodiment described above is only the preferred embodiments of the present invention, and the simultaneously exhaustion of the feasible implementation of non-invention.It is right For persons skilled in the art, on the premise of without departing substantially from the principle of the invention and spirit to any aobvious made by it and The change being clear to, it should all be contemplated as falling with the claims of the present invention.

Claims (6)

  1. A kind of 1. micro-cutting measures conversion device, it is characterised in that:It include servomotor (1), worm screw (2), worm gear (3), Dividing plate (4), gauge head (6), cutter (8), the workpiece (10) on platen and the rotating mechanism for processing detection； Servomotor (1) output end is connected by shaft coupling with worm screw (2), and the worm screw (2) coordinates with worm gear (3), the rotation Rotation mechanism is arranged on below dividing plate (4), and the gauge head (6) is arranged in rotating mechanism with cutter (8)；The rotating mechanism bag Include：Driving wheel (5), driven pulley (7), chain (11), cover for seat (9), the studs (12) for being arranged on dividing plate (4) right-hand member and set Put the power transmission shaft (13) in dividing plate (4) left end；The driven pulley (7) is arranged on studs (12) by bearing, the snail Wheel (3) is arranged on power transmission shaft (13), and the power transmission shaft (13) is connected through dividing plate (4) by key with driving wheel (5), the master Driving wheel (5) is connected by chain (11) with driven pulley (7), and the driven pulley (7) is provided with cover for seat (9)；
    The gauge head (6) is separately positioned on cutter (8) in the cover for seat (9) of rotating mechanism.
  2. A kind of 2. micro-cutting measures conversion device according to claim 1, it is characterised in that：The gauge head (6) and knife Tool (8) is connected with rotated mechanism transmission with machine tool chief axis, and corresponding with workpiece (10).
  3. A kind of 3. micro-cutting measures conversion device according to claim 1 or 2, it is characterised in that：The cover for seat (9) Number is 2 or more than 2.
  4. 4. carry out tolerance Forecasting Methodology using the device described in claim 1, it is characterised in that step is as follows：
    1. machining is carried out to workpiece (10) using cutter (8)；
    2. rotated mechanism conversion, on-line measurement is carried out to the workpiece (10) after processing using gauge head (6)；
    3. judge whether the size after processing is less than 3mm；If less than 3mm, step is performed 5., if greater than equal to 3mm, perform Step is 4.；
    4. according to the grade of tolerance after the evaluation processing of existing basic size section 3-1000mm standard of tolerance table, step is then performed ⑦；
    5. carried out curve fitting using power function model；
    501 extraction basic size section 3-250mm, the grade of tolerance IT01, IT0, IT1, IT2, IT3, IT4 standard of tolerance number Simultaneously form is made in value, geometrical averages-were calculated D；
    502 are modeled based on power function method, obtain the basic chi that the grade of tolerance is IT01, IT0, IT1, IT2, IT3, IT4 Power function model between the very little numerical value with standard of tolerance simultaneously fits curve map, and the transverse and longitudinal coordinate of matched curve figure is taken pair Number, power function fitting model are as follows：
    IT01 power function models：IT01=0.189D0.379；
    IT0 power function models：IT0=0.291D0.383；
    IT1 power function models：IT1=0.464D0.384；
    IT2 power function models：IT2=0.738D0.379；
    IT3 power function models：IT3=1.264D0.356；
    IT4 power function models：IT4=2.152D0.336；
    6. the power function model obtained according to fitting, takes the logarithm to the transverse and longitudinal coordinate of matched curve figure, to basic size respectively 0.01-3mm standards of tolerance are predicted；
    7. judging whether the grade of tolerance after processing meets the processing request of setting, if meeting to require, process terminates, if Do not meet to set processing request, then perform step 1..
  5. 5. tolerance Forecasting Methodology according to claim 4, it is characterised in that：To the step 5. middle grade of tolerance IT01, The fitting degree of IT0, IT1, IT2, IT3, IT4 power function model is solved, and calculates the situation in level of significance α=0.01 F Distribution Values corresponding to lower and regression coefficient R2。
  6. 6. tolerance Forecasting Methodology according to claim 4, it is characterised in that：6. middle tolerance grade factor uses the step R5 preferred numbers, this basic size section is divided into 9 sections：0.01-0.03mm、0.03-0.06mm、0.06-0.10mm、0.10- 0.18mm, 0.18-0.30mm, 0.30-0.60mm, 0.60-1.00mm, 1.00-1.80mm, 1.80-3.00mm, using being fitted The power function model arrived, carry out standard of tolerance value to above-mentioned 9 sections respectively and be predicted analysis.
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CN110309604A (en) * 2019-07-05 2019-10-08 江苏师范大学 A kind of machine components profile data predication method

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